A Treatise on Plane Co-ordinate Geometry as Applied to the Straight Line and the Conic SectionsMacmillan, 1862 - 326 páginas |
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... students usually require . In addition , therefore , to the propositions which have always appeared in such ... student at first . The examples at the end of each chapter , will , it is hoped , furnish sufficient exercise on the ...
... students usually require . In addition , therefore , to the propositions which have always appeared in such ... student at first . The examples at the end of each chapter , will , it is hoped , furnish sufficient exercise on the ...
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... students have been simplified and improved , and a few additional illustrations have been introduced . In consequence of the demand for the work proving much greater than had been originally anticipated , a large number of copies has ...
... students have been simplified and improved , and a few additional illustrations have been introduced . In consequence of the demand for the work proving much greater than had been originally anticipated , a large number of copies has ...
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... of a Cone . Anharmonic Ratio and Harmonic Pencil 300 • ANSWERS TO EXAMPLES 310 Students reading this work for the first time may omit Chapters IV , VII , XIV , XV , XVI . PLANE CO - ORDINATE GEOMETRY . CHAPTER I. CO -
... of a Cone . Anharmonic Ratio and Harmonic Pencil 300 • ANSWERS TO EXAMPLES 310 Students reading this work for the first time may omit Chapters IV , VII , XIV , XV , XVI . PLANE CO - ORDINATE GEOMETRY . CHAPTER I. CO -
Página 2
... unless the contrary be stated ; this remark applies both to our investigations and to the examples which are given for the exercise of the student . 6. Another method of determining the position of a point 2 CO - ORDINATES OF A POINT .
... unless the contrary be stated ; this remark applies both to our investigations and to the examples which are given for the exercise of the student . 6. Another method of determining the position of a point 2 CO - ORDINATES OF A POINT .
Página 5
... student should draw figures placing P and Q in the different compartments and in different positions ; the equa- tions ( 1 ) and ( 2 ) will be found universally true . From the equation ( 2 ) we have 2 2 PQ = x2 + y2 + x + y , − 2 ( x ...
... student should draw figures placing P and Q in the different compartments and in different positions ; the equa- tions ( 1 ) and ( 2 ) will be found universally true . From the equation ( 2 ) we have 2 2 PQ = x2 + y2 + x + y , − 2 ( x ...
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Términos y frases comunes
a²b² a²b³ a²y abscissa asymptotes ax² axes axis of x b²x² bisects centre chord of contact circle conic section conjugate diameters conjugate hyperbola constant Crown 8vo cy² denote directrix distance Edition ellipse equa equal Examples external point find the equation find the locus fixed point focal chord focus given lines given point Hence the equation inclined latus rectum Let the equation line drawn line joining lines meet lines which pass major axis meet the curve middle point negative normal ordinate origin parabola parallel perpendicular point h point of intersection polar co-ordinates polar equation pole positive preceding article proposition radical axis radius ratio rectangular required equation respectively right angles shew shewn sides Similarly student suppose tangent tion triangle vertex x₁ y₁
Pasajes populares
Página 100 - A point moves so that the sum of the squares of its distances from the points (0, 0), (1, 0) is constant.
Página 304 - Or, four terms are in harmonical proportion, when the first is to the fourth as the difference of the first and second is to the difference of the third and fourth.
Página 25 - In this equation n is the tangent of the angle which the line makes with the axis of abscissae, and B is the intercept on this axis from the origin.
Página 141 - Thus a parabola is the locus of a point which moves so that its distance from a fixed point is equal to its distance from a fixed straight line (see fig.
Página 189 - Hyperbola is the locus of a point which moves so that its distance from a fixed point, called the focus, bears a constant ratio, which is greater than unity, to its distance from a fixed straight line, called the directrix.